Question

Problem : Set up the following two problems as initial value
problems (i.e. differential equation and initial condition) and
solve each one.

(a) In the LR circuit shown in Fig 1(a), R,L, V >= 0 are
constant. Find the current i(t) given that i(0) = 0.
(b) In the RC circuit shown in Fig 1(b), R,C >= 0 are constant
and the voltage is time dependent, V (t) = e^(-t). Find the charge
on the capacitor q(t) given that q(0) = 0